This was basically a take-home crammed into a live call.
Start by framing the experiment around the two-sided nature of calls: choose the caller as the randomization unit but acknowledge interference and plan to measure it. Define metrics and exposure logic clearly, then walk through power analysis with design effect adjustment, and finally discuss estimand and diagnostics for interference.
Pro tip: Always pre-specify how you'll handle partial exposure (e.g., one side treated) and consider using a cluster-randomized design or switchback if interference is severe; this shows you understand real-world constraints beyond textbook A/B tests.
Choose the caller as the randomization unit because calls are initiated by one user, but note that two-sided exposure creates interference. Justify that caller-level randomization balances user experience and allows measuring spillover via call graphs.
Define primary metric as call drop rate per call, and guardrail metrics like call setup success rate, audio quality (MOS), and user retention. Specify exposure: feature activates only when both caller and callee are treated to avoid asymmetric effects, but also track partial exposure cases.
Outline a phased ramp: start with 1% of callers, monitor for interference via network effects (e.g., call success rate of untreated partners of treated callers). Use geo or time-based holdouts to detect spillover.
Back-of-envelope: baseline drop rate 3.2%, target 8% relative reduction (to 2.944%). Compute sample size for independent units, then adjust for design effect (1 + (m-1)*ICC) with ICC=0.10 and average calls per caller m. Estimate unique callers per arm.
State estimand as average treatment effect on call drop rate among treated callers. Use intention-to-treat (ITT) estimator with cluster-robust standard errors. Diagnose interference by comparing outcomes for treated vs. untreated partners, and use causal graph or network analysis.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.